Time Since Common Pedigree Ancestors with Two Progeny per Individual

R. B. Campbell

Mathematical Population Studies, 2009, vol. 16, issue 4, 248-265

Abstract: Constraining individuals to two progeny (versus Poisson distribution) increases the time since a pedigree (nongenetic) common ancestor, but the time still increases logarithmically in the population size. This is confirmed by simulations for discrete generations and rigorously for expected time with a modification of the Moran model. Selfing increases the expected time since a common ancestor with both the Poisson progeny distribution and two progeny per individual. As selfing approaches one, the time since a common ancestor asymptotically approaches infinity with two progeny per individual, but only twice the population size with the Poisson progeny distribution. Regular systems of inbreeding with two progeny per individual can either increase or decrease the time since a common ancestor as contrasted with random mating with two progeny per individual.

Keywords: coalescent; fixation time; pedigree; population genetics; progeny distribution (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1080/08898480903251520

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